Math 330 - Abstract Algebra 1 -
13706
Addams Hall 306, MWF 9:00 am - 9:50 am
Instructor: Henri Gillet
SEO 405 3-2157 gillet@uic.edu,
Office Hours: Monday and Friday 1:30-3:00 or by
appointment.
The final Exam will be: 10:30 am - 12:30
pm, Tuesday, Dec 11, 2012 in AH 306
Look on the handouts page for a variety of
sample exams and problems. The best way to study for the final is to
do problems.
Text: A First Course in Abstract Algebra,
(Third Edition), Joseph J. Rotman, Prentice
Hall,
Goals of the Course:
The goal of Math 330 is for you to basic abstract
algebra, and in particular to become familiar, and preferably master, the
following topics:
- Definition of a group, group actions.
- Examples – Cyclic groups, dihedral groups,
symmetric groups. Some matrix groups.
- Subgroups, and cosets.
- The Orbit-Stabilzer Theorem.
- Lagrange’s theorem.
- Cauchy’s Theorem.
- Homomorphisms
- Kernels, normal subgroups, quotients
- The Isomorphism Theorems
- Rings
- Fields
- Homomorphisms, ideals, quotients the Isomorphism
Theorems
- Integral domains, Principal Ideal Domains, zero
divsors, etc.
- Polynomial rings
- Unique Factorization Domains and unique
factorization for polynomials
These topics are covered in Chapters 1-3 of the
text, together with part of Chapter 7.
Grading:
There will be weekly homework assignments, together
with 2 in class midterms (on October 3 and November 7) and the final.
A study guide for the first midterm is here.
Your grade will be made up by combining: HW (30) + MT1
(20) + MT2 (20) +Final (40) for a maximum Total of 110 .
You will receive a midterm grade; this is to enable you monitor your
progress in the course (see Information
about how to interpret midterm grades)
Late Homework will not be
accepted. If you miss homework, or a midterm, with a legitimate
excuse, then your grade will be based on the average of the remaining
homework or remaining midterms.
Academic
Integrity & Classroom Behavior
While I
strongly encourage you to discuss the content of the course, including
the homework problems, with each other, all work submitted should be
your own work. All
students in the course should behave in a fashion that respects the
members of the course and the educational process. In
particular please mute your cellphones during class. See www.uic.edu/depts/dos/studentconduct.html
for general information on policies relating to academic integrity and student conduct.
Disabilities
The University of Illinois at Chicago is committed
to maintaining a barrier-free environment so that individuals with
disabilities can fully access programs, courses, services, and
activities at UIC. Students with disabilities who require accommodations
for full access and participation in UIC Programs must be registered
with the Disability Resource Center (DRC). Please contact DRC at (312)
413-2183 (voice) or (312) 413- 0123 (TDD).